from manim import *


class math1(MovingCameraScene):
    def construct(self):
        self.camera.background_color = BLACK  # 设置背景颜色
        self.camera.frame_width = 100  # 设置边框宽度
        self.camera.frame_height = 60  # 设置边框高度
        self.camera.pixel_height = 1080  # 设置像素高度
        self.camera.pixel_width = 1920  # 设置像素宽度
        self.camera.center = ORIGIN  # 设置中心点位置
        self.camera.scale_factor = 1.0  # 设置缩放因子
        #设置横线
        for i in range(60*2+1):       
            dot1=Dot([-500,5*(i-60),0]).set_opacity(0.5)
            dot2=Dot([500,5*(i-60),0]).set_opacity(0.5)
            if i==6:
                line1=Line(dot1,dot2).set_color(WHITE).set_opacity(0.5)
                
            else:
                line1=Line(dot1,dot2).set_color(WHITE).set_opacity(0.5)
               
            self.add(dot1,dot2,line1)
        #设置竖线
        for i in range(100*2+1):        
            dot3=Dot([(i-100)*5,-300,0]).set_opacity(0.5)
            dot4=Dot([(i-100)*5,300,0]).set_opacity(0.5)
            if i==10:
                line2=Line(dot3,dot4).set_color(WHITE).set_opacity(0.5)
                
            else:
                line2=Line(dot3,dot4).set_color(WHITE).set_opacity(0.5)
            self.add(dot3,dot4,line2)
        #设置三个点
        dot1 = Dot(radius=1, color=RED)  
        dot1.move_to([-47.5,27.5,0]) 
        dot2 = Dot(radius=1, color=YELLOW)  
        dot2.move_to([-42.5,27.5,0])  
        dot3 = Dot(radius=1, color=GREEN)  
        dot3.move_to([-37.5,27.5,0])
        
        #镜头跟进效果 
        self.camera.frame.save_state()

        

        text = Tex(r"\text{(2018)将长为2m的铁丝分为三段,依次围成圆,正方形与正三角形}"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,20,0])
        self.play(Write(text))
        text1 = Tex(r"\text{三个图形的面积之和是否存在最小值? 若存在,求出最小值.}"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([-5,15,0])
        self.play(Write(text1))
        self.play(FadeIn(dot1),run_time=0.1)
        self.play(FadeIn(dot2),run_time=0.1)
        self.play(FadeIn(dot3),run_time=0.1)

        text2 = Tex(r"\text{已知}$x+y+z=2(x,y,z >0)$",color=GREEN
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([-20,7,0])
        self.play(Write(text2))
        text3 = Tex(r"\text{求}$\left( \dfrac{x^{2}}{4\pi }+\dfrac{y^{2}}{16}+\dfrac{\sqrt{3}}{36}z^{2}\right)  _{\min }$",color=GREEN
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text2,RIGHT,buff=1)
        self.play(Write(text3))
        text4 = Tex(r"$\left( \dfrac{x^{2}}{4\pi }+\dfrac{y^{2}}{16}+\dfrac{\sqrt{3}}{36}z^{2}\right) $",color=RED
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([-20,-3,0])
        self.play(Write(text4))
        text5 = Tex(r"$\left( 4\pi +16+\dfrac{36}{\sqrt{3}}\right) $",color=BLUE
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text4,RIGHT,buff=1)
        self.play(Write(text5))
        text6 = Tex(r"$\geq $"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text5,RIGHT,buff=1)
        self.play(Write(text6))

        text7 = Tex(r"$\left( x+y+z\right) ^{2}=4$",color=YELLOW
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text6,RIGHT,buff=1)
        self.play(Write(text7))

        text8 = Tex(r"$\left( \dfrac{x^{2}}{4\pi }+\dfrac{y^{2}}{16}+\dfrac{\sqrt{3}}{36}z^{2}\right) _{\min }$",color=GREEN
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([-20,-15,0])
        self.play(Write(text8))
        text9 = Tex(r"$=$"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text8,RIGHT,buff=1)
        self.play(Write(text9))
        text10 = Tex(r"$\dfrac{4}{4\pi +16+\dfrac{36}{\sqrt{3}}}$",color=BLUE
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text9,RIGHT,buff=1)
        self.play(Write(text10))
        text11 = Tex(r"$=\dfrac{1}{\pi +4+3\sqrt{3}}$",color=RED
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text10,RIGHT,buff=1)
        self.play(Write(text11))
        self.wait()




